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Finding the Fourth Proportional to 12,580.88, 17,354.44 and 7,798.64

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Solution

The fourth proportional to 12,580.88, 17,354.44 and 7,798.64 is: 10,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.88 : 17,354.44 = 7,798.64 : x
  2. Step 2: Convert to fraction form
    12,580.88/17,354.44 = 7,798.64/x
  3. Step 3: Cross multiply
    12,580.88x = 17,354.44 × 7,798.64
  4. Step 4: Simplify right side
    12,580.88x = 135,340,990.97
  5. Step 5: Solve for x
    x = 135,340,990.97/12,580.88
  6. Step 6: Final answer
    x = 10,757.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.